Numerical analysis of Carreau fluid inside a horizontal passage with axial conduction and viscous dissipation: an extended Graetz problem
It is crucial to investigate fluid flow velocity and temperature distribution for theoretical and practical purposes. Determining the velocity and temperature distributions in fluid flows is necessary for designing effective heat exchange equipment, creating heat and thermomechanical modes of produc...
Saved in:
Published in | Journal of thermal analysis and calorimetry Vol. 149; no. 14; pp. 7527 - 7535 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Cham
Springer International Publishing
01.07.2024
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | It is crucial to investigate fluid flow velocity and temperature distribution for theoretical and practical purposes. Determining the velocity and temperature distributions in fluid flows is necessary for designing effective heat exchange equipment, creating heat and thermomechanical modes of product treatment, and calculating heat losses in pipeline systems. The present article elaborates on the thermal analysis of Carreau fluid inside a horizontal passage. The influence of the small Peclet number and Brinkman number is also considered. The energy equation is tackled by Graetz’s traditional approach for fixed wall temperature conditions. A MATLAB function bvp5c is employed for the numerical solution of the eigenvalue problem in the form of eigenvalues and related eigenvectors. Local Nusselt number and mean temperature are thoroughly elaborated under the influence of emerging parameters and displayed through several graphs. A numerical validation is also presented with already existing literature. The findings reveal that when the small values of Peclet number are taken into account, the axial conduction is dominant in upstream region. In addition, the flow index and Weissenberg number assist the temperature profile. |
---|---|
ISSN: | 1388-6150 1588-2926 |
DOI: | 10.1007/s10973-024-13332-z |